10026838266390 has 768 divisors, whose sum is σ = 32791329792000. Its totient is φ = 2092876185600.

The previous prime is 10026838266383. The next prime is 10026838266461. The reversal of 10026838266390 is 9366283862001.

10026838266390 is a `hidden beast` number, since 1 + 0 + 0 + 268 + 38 + 266 + 3 + 90 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6473103336 + ... + 6473104884.

It is an arithmetic number, because the mean of its divisors is an integer number (42697044000).

Almost surely, 2^{10026838266390} is an apocalyptic number.

10026838266390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10026838266390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16395664896000).

10026838266390 is an abundant number, since it is smaller than the sum of its proper divisors (22764491525610).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10026838266390 is a wasteful number, since it uses less digits than its factorization.

10026838266390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 10026838266390 in words is "ten trillion, twenty-six billion, eight hundred thirty-eight million, two hundred sixty-six thousand, three hundred ninety".